On Finite Groups with Permutable Generalized Subnormal Subgroups

We study the Kegel–Shemetkov problem of finding the classes of finite groups \( {\mathfrak F} \) such that, in any finite group, the product of permutable \( {\mathfrak F} \) -subnormal subgroups is a \( {\mathfrak F} \) -subnormal subgroup.

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Bibliographic Details
Date:2013
Main Authors: Velesnitskii, V. F., Semenchuk, V. N., Велесницкий, В. Ф., Семенчук, В. Н.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2013
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2534
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal